An Efficient Parallel Algorithm for Computing Bicompatible Elimination Ordering (BCO) of Proper Interval Graphs

  • B. S. Panda
  • Sajal K. Das
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2552)


In this paper, we first show how a certein ordering of vertices, called bicompatible elimination ordering (BCO), of a proper interval graph (PIG) can be used to solve optimally the following problems: finding Hamiltonian cycle in a Hamiltonian PIG, the set of articulation points and bridges, and the single source or all pair shortest paths. We then propose an NC parallel algorithm (i.e., polylogarithmic-time employing a polynomial number of processors) to compute a BCO of a proper interval graph.


Leaf Node Parallel Algorithm Hamiltonian Cycle Interval Graph Chordal Graph 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • B. S. Panda
    • 1
  • Sajal K. Das
    • 2
  1. 1.Department of MathematicsIndian Institute of Technology, DelhiNew DelhiIndia
  2. 2.Department of Computer Science and EngineeringThe University of Texas at ArlingtonArlingtonUSA

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